| correct_response_made | ||
|---|---|---|
| Predictors | Odds Ratios | SE |
| age group1 | 0.7626 | 0.0549 |
| learning trial scaled | 1.4490 | 0.0451 |
| reward condition1 | 1.8834 | 0.1105 |
| block number scaled | 1.1543 | 0.0405 |
|
age group1 × learning trial scaled |
0.8999 | 0.0279 |
|
age group1 × reward condition1 |
0.8880 | 0.0520 |
|
learning trial scaled × reward condition1 |
1.1825 | 0.0285 |
|
age group1 × block number scaled |
1.0190 | 0.0357 |
|
learning trial scaled × block number scaled |
1.0280 | 0.0170 |
|
reward condition1 × block number scaled |
1.0688 | 0.0373 |
|
age group1 × learning trial scaled × reward condition1 |
0.9677 | 0.0232 |
|
(age group1 × learning trial scaled) × block number scaled |
0.9944 | 0.0164 |
|
(age group1 × reward condition1) × block number scaled |
1.0521 | 0.0367 |
|
(learning trial scaled × reward condition1) × block number scaled |
0.9987 | 0.0176 |
|
(age group1 × learning trial scaled × reward condition1) × block number scaled |
1.0168 | 0.0179 |
| Random Effects | ||
| σ2 | 3.29 | |
| τ00 subject_id | 0.36 | |
| τ11 subject_id.re1.learning_trial_scaled | 0.06 | |
| τ11 subject_id.re1.reward_condition1 | 0.23 | |
| τ11 subject_id.re1.block_number_scaled | 0.08 | |
| τ11 subject_id.re1.learning_trial_scaled_by_reward_condition1 | 0.03 | |
| τ11 subject_id.re1.learning_trial_scaled_by_block_number_scaled | 0.01 | |
| τ11 subject_id.re1.reward_condition1_by_block_number_scaled | 0.07 | |
| τ11 subject_id.re1.learning_trial_scaled_by_reward_condition1_by_block_number_scaled | 0.01 | |
| ρ01 | ||
| ρ01 | ||
| ICC | 0.10 | |
| N subject_id | 73 | |
| Observations | 31536 | |
| Marginal R2 / Conditional R2 | 0.163 / 0.246 | |
| correct_response_made | ||
|---|---|---|
| Predictors | Odds Ratios | SE |
| age group1 | 0.9285 | 0.0390 |
| category rep scaled | 1.1209 | 0.0403 |
| reward condition1 | 1.4819 | 0.0673 |
| block number scaled | 1.0176 | 0.0368 |
|
age group1 × category rep scaled |
1.0128 | 0.0364 |
|
age group1 × reward condition1 |
0.8858 | 0.0402 |
|
category rep scaled × reward condition1 |
1.2599 | 0.0454 |
|
age group1 × block number scaled |
0.9790 | 0.0354 |
|
category rep scaled × block number scaled |
1.0071 | 0.0353 |
|
reward condition1 × block number scaled |
1.0774 | 0.0473 |
|
age group1 × category rep scaled × reward condition1 |
0.9448 | 0.0339 |
|
(age group1 × category rep scaled) × block number scaled |
0.9514 | 0.0333 |
|
(age group1 × reward condition1) × block number scaled |
1.0205 | 0.0448 |
|
(category rep scaled × reward condition1) × block number scaled |
0.9952 | 0.0349 |
|
(age group1 × category rep scaled × reward condition1) × block number scaled |
1.0032 | 0.0352 |
| Random Effects | ||
| σ2 | 3.29 | |
| τ00 subject_id | 0.04 | |
| τ11 subject_id.re1.reward_condition1 | 0.06 | |
| τ11 subject_id.re1.block_number_scaled | 0.01 | |
| τ11 subject_id.re1.reward_condition1_by_block_number_scaled | 0.05 | |
| ρ01 | ||
| ρ01 | ||
| ICC | 0.01 | |
| N subject_id | 73 | |
| Observations | 3942 | |
| Marginal R2 / Conditional R2 | 0.073 / 0.085 | |
| WSLS | ||
|---|---|---|
| Predictors | Odds Ratios | SE |
| age group1 | 0.9060 | 0.0294 |
| learning trial scaled | 1.0102 | 0.0146 |
| reward condition1 | 1.5157 | 0.0507 |
| block number scaled | 1.0603 | 0.0218 |
|
age group1 × learning trial scaled |
0.9983 | 0.0144 |
|
age group1 × reward condition1 |
0.8968 | 0.0300 |
|
learning trial scaled × reward condition1 |
1.1446 | 0.0188 |
|
age group1 × block number scaled |
1.0197 | 0.0210 |
|
learning trial scaled × block number scaled |
0.9811 | 0.0132 |
|
reward condition1 × block number scaled |
1.0701 | 0.0193 |
|
age group1 × learning trial scaled × reward condition1 |
0.9802 | 0.0161 |
|
(age group1 × learning trial scaled) × block number scaled |
1.0132 | 0.0136 |
|
(age group1 × reward condition1) × block number scaled |
1.0053 | 0.0181 |
|
(learning trial scaled × reward condition1) × block number scaled |
1.0040 | 0.0137 |
|
(age group1 × learning trial scaled × reward condition1) × block number scaled |
1.0141 | 0.0138 |
| Random Effects | ||
| σ2 | 3.29 | |
| τ00 subject_id | 0.06 | |
| τ11 subject_id.re1.learning_trial_scaled | 0.00 | |
| τ11 subject_id.re1.reward_condition1 | 0.07 | |
| τ11 subject_id.re1.block_number_scaled | 0.02 | |
| τ11 subject_id.re1.learning_trial_scaled_by_reward_condition1 | 0.01 | |
| τ11 subject_id.re1.learning_trial_scaled_by_block_number_scaled | 0.00 | |
| τ11 subject_id.re1.reward_condition1_by_block_number_scaled | 0.01 | |
| τ11 subject_id.re1.learning_trial_scaled_by_reward_condition1_by_block_number_scaled | 0.00 | |
| ρ01 | ||
| ρ01 | ||
| ICC | 0.02 | |
| N subject_id | 73 | |
| Observations | 29799 | |
| Marginal R2 / Conditional R2 | 0.064 / 0.082 | |
| mean_delay | sd_delay | min_delay | max_delay |
|---|---|---|---|
| 7.123 | 1.092 | 5 | 10 |
| age_group | mean_delay | sd_delay | min_delay | max_delay |
|---|---|---|---|---|
| Children | 7.118 | 1.122 | 6 | 10 |
| Adults | 7.128 | 1.08 | 5 | 9 |
| memory_delay | age_group | N |
|---|---|---|
| 5 | Adults | 1 |
| 6 | Children | 13 |
| 6 | Adults | 13 |
| 7 | Children | 9 |
| 7 | Adults | 9 |
| 8 | Children | 8 |
| 8 | Adults | 12 |
| 9 | Children | 3 |
| 9 | Adults | 4 |
| 10 | Children | 1 |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age group1 | -0.0029 | 0.0143 |
| reward condition1 | -0.0179 | 0.0040 |
| foil type1 | 0.0428 | 0.0040 |
|
age group1 × reward condition1 |
-0.0006 | 0.0040 |
| age group1 × foil type1 | 0.0036 | 0.0040 |
|
reward condition1 × foil type1 |
0.0078 | 0.0040 |
|
age group1 × reward condition1 × foil type1 |
0.0031 | 0.0040 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.74 | |
| N subject_id | 73 | |
| Observations | 292 | |
| Marginal R2 / Conditional R2 | 0.108 / 0.772 | |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age group1 | -0.0029 | 0.0145 |
| reward condition1 | -0.0180 | 0.0040 |
| foil type1 | 0.0428 | 0.0040 |
| mem delay scaled | 0.0035 | 0.0145 |
|
age group1 × reward condition1 |
-0.0006 | 0.0040 |
| age group1 × foil type1 | 0.0037 | 0.0040 |
|
reward condition1 × foil type1 |
0.0078 | 0.0040 |
|
age group1 × mem delay scaled |
0.0037 | 0.0145 |
|
reward condition1 × mem delay scaled |
-0.0001 | 0.0040 |
|
foil type1 × mem delay scaled |
0.0097 | 0.0040 |
|
age group1 × reward condition1 × foil type1 |
0.0031 | 0.0040 |
|
(age group1 × reward condition1) × mem delay scaled |
-0.0065 | 0.0040 |
|
(age group1 × foil type1) × mem delay scaled |
0.0032 | 0.0040 |
|
(reward condition1 × foil type1) × mem delay scaled |
-0.0001 | 0.0040 |
|
(age group1 × reward condition1 × foil type1) × mem delay scaled |
0.0021 | 0.0040 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.75 | |
| N subject_id | 73 | |
| Observations | 292 | |
| Marginal R2 / Conditional R2 | 0.114 / 0.782 | |
| est | ||
|---|---|---|
| Predictors | Estimates | SE |
| abstraction1 | -0.0404 | 0.0547 |
| reward condition1 | 0.0417 | 0.0547 |
| age group1 | -0.0842 | 0.0980 |
|
abstraction1 × reward condition1 |
0.1356 | 0.0547 |
| abstraction1 × age group1 | 0.0967 | 0.0547 |
|
reward condition1 × age group1 |
0.0157 | 0.0547 |
|
abstraction1 × reward condition1 × age group1 |
-0.0347 | 0.0547 |
| Random Effects | ||
| σ2 | 0.87 | |
| τ00 subject_id | 0.48 | |
| ICC | 0.36 | |
| N subject_id | 73 | |
| Observations | 292 | |
| Marginal R2 / Conditional R2 | 0.029 / 0.375 | |
| est | ||
|---|---|---|
| Predictors | Estimates | SE |
| reward condition1 | -0.0974 | 0.0606 |
| Random Effects | ||
| σ2 | 0.54 | |
| τ00 subject_id | 0.87 | |
| ICC | 0.62 | |
| N subject_id | 73 | |
| Observations | 146 | |
| Marginal R2 / Conditional R2 | 0.007 / 0.622 | |
| est | ||
|---|---|---|
| Predictors | Estimates | std. Error |
| reward condition1 | 0.1785 | 0.0642 |
| Random Effects | ||
| σ2 | 0.60 | |
| τ00 subject_id | 0.69 | |
| ICC | 0.54 | |
| N subject_id | 73 | |
| Observations | 146 | |
| Marginal R2 / Conditional R2 | 0.024 / 0.546 | |
## Mixed Model Anova Table (Type 3 tests, S-method)
##
## Model: total_points ~ age_group * beta_scaled * abstraction * reward_condition +
## Model: (1 | subject_id)
## Data: beta_ests_points
## Effect df F
## 1 age_group 1, 60.48 15.36 ***
## 2 beta_scaled 1, 267.98 10.74 **
## 3 abstraction 1, 195.18 0.69
## 4 reward_condition 1, 194.54 451.24 ***
## 5 age_group:beta_scaled 1, 267.98 0.27
## 6 age_group:abstraction 1, 195.18 0.00
## 7 beta_scaled:abstraction 1, 227.31 0.38
## 8 age_group:reward_condition 1, 194.54 4.69 *
## 9 beta_scaled:reward_condition 1, 203.34 31.13 ***
## 10 abstraction:reward_condition 1, 195.93 0.09
## 11 age_group:beta_scaled:abstraction 1, 227.31 0.23
## 12 age_group:beta_scaled:reward_condition 1, 203.34 0.39
## 13 age_group:abstraction:reward_condition 1, 195.93 0.00
## 14 beta_scaled:abstraction:reward_condition 1, 208.19 30.89 ***
## 15 age_group:beta_scaled:abstraction:reward_condition 1, 208.19 1.49
## p.value
## 1 <.001
## 2 .001
## 3 .407
## 4 <.001
## 5 .604
## 6 .946
## 7 .538
## 8 .032
## 9 <.001
## 10 .762
## 11 .631
## 12 .532
## 13 .979
## 14 <.001
## 15 .224
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_c_c)
##
## Residuals:
## Min 1Q Median 3Q Max
## -93.64 -36.87 3.86 39.43 83.93
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 36.795 5.880 6.257 2.62e-08 ***
## est 39.829 4.692 8.489 2.07e-12 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 46.65 on 71 degrees of freedom
## Multiple R-squared: 0.5037, Adjusted R-squared: 0.4968
## F-statistic: 72.07 on 1 and 71 DF, p-value: 2.069e-12
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_e_c)
##
## Residuals:
## Min 1Q Median 3Q Max
## -131.981 -52.267 -2.401 41.211 143.996
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 50.653 7.626 6.642 5.28e-09 ***
## est 16.470 6.364 2.588 0.0117 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 63.31 on 71 degrees of freedom
## Multiple R-squared: 0.0862, Adjusted R-squared: 0.07333
## F-statistic: 6.698 on 1 and 71 DF, p-value: 0.0117
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_c_e)
##
## Residuals:
## Min 1Q Median 3Q Max
## -64.897 -23.138 -3.735 21.206 87.594
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -24.448 4.025 -6.074 5.56e-08 ***
## est -6.766 3.665 -1.846 0.069 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 34.22 on 71 degrees of freedom
## Multiple R-squared: 0.04581, Adjusted R-squared: 0.03237
## F-statistic: 3.408 on 1 and 71 DF, p-value: 0.06904
##
## Call:
## lm(formula = total_points ~ est, data = beta_ests_points_e_e)
##
## Residuals:
## Min 1Q Median 3Q Max
## -63.454 -13.244 -2.002 14.115 72.974
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -34.370 3.306 -10.395 6.60e-16 ***
## est 19.236 2.576 7.468 1.62e-10 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 26.22 on 71 degrees of freedom
## Multiple R-squared: 0.4399, Adjusted R-squared: 0.432
## F-statistic: 55.77 on 1 and 71 DF, p-value: 1.616e-10
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age group1 | 0.0000 | 0.0143 |
| points scaled | 0.0403 | 0.0104 |
| abstraction1 | 0.0316 | 0.0061 |
| reward condition1 | -0.0397 | 0.0080 |
|
age group1 × points scaled |
0.0011 | 0.0104 |
| age group1 × abstraction1 | 0.0020 | 0.0061 |
|
points scaled × abstraction1 |
-0.0030 | 0.0069 |
|
age group1 × reward condition1 |
-0.0021 | 0.0080 |
|
points scaled × reward condition1 |
-0.0135 | 0.0086 |
|
abstraction1 × reward condition1 |
0.0098 | 0.0061 |
|
age group1 × points scaled × abstraction1 |
-0.0112 | 0.0069 |
|
age group1 × points scaled × reward condition1 |
0.0108 | 0.0086 |
|
age group1 × abstraction1 × reward condition1 |
0.0133 | 0.0061 |
|
points scaled × abstraction1 × reward condition1 |
0.0139 | 0.0069 |
|
age group1 × points scaled × abstraction1 × reward condition1 |
0.0024 | 0.0069 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.71 | |
| N subject_id | 73 | |
| Observations | 292 | |
| Marginal R2 / Conditional R2 | 0.164 / 0.754 | |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age group1 | 0.0027 | 0.0123 |
| beta scaled | 0.0345 | 0.0079 |
| abstraction1 | 0.0431 | 0.0041 |
| reward condition1 | -0.0136 | 0.0042 |
| age group1 × beta scaled | -0.0159 | 0.0079 |
| age group1 × abstraction1 | 0.0039 | 0.0041 |
|
beta scaled × abstraction1 |
0.0015 | 0.0042 |
|
age group1 × reward condition1 |
-0.0035 | 0.0042 |
|
beta scaled × reward condition1 |
-0.0018 | 0.0046 |
|
abstraction1 × reward condition1 |
0.0079 | 0.0041 |
|
age group1 × beta scaled × abstraction1 |
0.0020 | 0.0042 |
|
age group1 × beta scaled × reward condition1 |
0.0061 | 0.0046 |
|
age group1 × abstraction1 × reward condition1 |
0.0034 | 0.0041 |
|
beta scaled × abstraction1 × reward condition1 |
0.0010 | 0.0042 |
|
age group1 × beta scaled × abstraction1 × reward condition1 |
0.0008 | 0.0042 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.66 | |
| N subject_id | 73 | |
| Observations | 292 | |
| Marginal R2 / Conditional R2 | 0.203 / 0.733 | |
| AUC | ||
|---|---|---|
| Predictors | Estimates | SE |
| age group1 | -0.0048 | 0.0144 |
| beta scaled | 0.0083 | 0.0075 |
| abstraction1 | 0.0423 | 0.0040 |
| reward condition1 | -0.0192 | 0.0041 |
| age group1 × beta scaled | 0.0094 | 0.0075 |
| age group1 × abstraction1 | 0.0040 | 0.0040 |
|
beta scaled × abstraction1 |
0.0111 | 0.0040 |
|
age group1 × reward condition1 |
-0.0019 | 0.0041 |
|
beta scaled × reward condition1 |
0.0011 | 0.0045 |
|
abstraction1 × reward condition1 |
0.0061 | 0.0040 |
|
age group1 × beta scaled × abstraction1 |
-0.0013 | 0.0040 |
|
age group1 × beta scaled × reward condition1 |
0.0115 | 0.0045 |
|
age group1 × abstraction1 × reward condition1 |
0.0035 | 0.0040 |
|
beta scaled × abstraction1 × reward condition1 |
0.0025 | 0.0040 |
|
age group1 × beta scaled × abstraction1 × reward condition1 |
-0.0031 | 0.0040 |
| Random Effects | ||
| σ2 | 0.00 | |
| τ00 subject_id | 0.01 | |
| ICC | 0.76 | |
| N subject_id | 73 | |
| Observations | 292 | |
| Marginal R2 / Conditional R2 | 0.126 / 0.789 | |
##
## Call:
## lm(formula = alpha ~ age_group, data = param_ests)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.9662 -1.6183 -0.4774 1.8037 5.2505
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.6116 0.3407 -10.600 2.82e-16 ***
## age_groupAdults 0.3878 0.4661 0.832 0.408
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.987 on 71 degrees of freedom
## Multiple R-squared: 0.009655, Adjusted R-squared: -0.004293
## F-statistic: 0.6922 on 1 and 71 DF, p-value: 0.4082
##
## Call:
## lm(formula = alpha_cf ~ age_group, data = param_ests)
##
## Residuals:
## Min 1Q Median 3Q Max
## -6.2676 -0.5954 0.4327 1.1856 4.0781
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.9938 0.3326 -5.995 7.69e-08 ***
## age_groupAdults 0.1240 0.4550 0.273 0.786
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.939 on 71 degrees of freedom
## Multiple R-squared: 0.001045, Adjusted R-squared: -0.01302
## F-statistic: 0.07431 on 1 and 71 DF, p-value: 0.786
##
## Call:
## lm(formula = q_init ~ age_group, data = param_ests)
##
## Residuals:
## Min 1Q Median 3Q Max
## -6.895 -2.615 1.736 2.309 2.962
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.4896 0.5168 2.882 0.00522 **
## age_groupAdults -0.2880 0.7071 -0.407 0.68497
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 3.014 on 71 degrees of freedom
## Multiple R-squared: 0.002332, Adjusted R-squared: -0.01172
## F-statistic: 0.1659 on 1 and 71 DF, p-value: 0.685